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A PDE-based control concept is developed to deploy a multi-agent system into desired formation profiles. The dynamic model is based on a coupled linear, time-variant parabolic distributed parameter system. By means of a particular coupling…

Systems and Control · Electrical Eng. & Systems 2021-04-15 Gerhard Freudenthaler , Thomas Meurer

In view of the fundamental distinction between the force-controlled model and the displacement-controlled model in buckling problems of structures and the complexity of the asymptotic post-buckling analysis traditionally based on the…

Pattern Formation and Solitons · Physics 2023-02-28 Xiaguang Zeng

Numerical stability is of great significance for discrete-time dynamic vehicle model. Among the unstable factors, low-speed singularity stands out as one of the most challenging issues, which arises from that the denominator of tire side…

Systems and Control · Electrical Eng. & Systems 2024-11-27 Guojian Zhan , Qiang Ge , Haoyu Gao , Yuming Yin , Bin Zhao , Shengbo Eben Li

This paper deals with the analysis and synthesis of a model predictive control (MPC) strategy used in connection with level control in conically shaped industrial liquid storage tanks. The MPC is based on a dynamical non-linear model…

Systems and Control · Computer Science 2018-10-03 Martin Klaučo , Ľuboš Čirka

Local configurational symmetry in lattice structures may give rise to stationary, compact solutions, even in the absence of disorder and nonlinearity. These compact solutions are related to the existence of flat dispersion curves (bands).…

Pattern Formation and Solitons · Physics 2017-11-22 Nathan Perchikov , O. V. Gendelman

We introduce a new definition of $\pi$-flatness for linear differential delay systems with time-varying coefficients. We characterize $\pi$- and $\pi$-0-flat outputs and provide an algorithm to efficiently compute such outputs. We present…

Optimization and Control · Mathematics 2014-09-30 F. Antritter , F. Cazaurang , J. Lévine , J. Middeke

In this letter, we prove that under mild conditions, the scaled graph of a reset control system is bounded by the scaled graph of its underlying base linear system, i.e., the system without resets. Building on this new insight, we establish…

Systems and Control · Electrical Eng. & Systems 2026-03-31 T. de Groot , W. P. M. H. Heemels , S. J. A. M. van den Eijnden

We analyse the problem of stability of a continuous time linear switching system (LSS) versus the stability of its Euler discretization. It is well-known that the existence of a positive {\tau} for which the corresponding discrete time…

Optimization and Control · Mathematics 2014-07-16 Vladimir Yu. Protasov , Raphael M. Jungers

Flatness-based control design is a well established method to generate open-loop control signals. Several articles discuss the application of flatness-based control design of (reaction-) diffusion problems for various scenarios. Beside the…

Optimization and Control · Mathematics 2023-12-05 Stephan Scholz , Lothar Berger , Dirk Lebiedz

We study a nearest neighbors ferromagnetic spin system on the square lattice in which the spin field is constrained to take values in a discretization of the unit circle consisting of $N$ equi-spaced vectors, also known as $N$-clock model.…

Mathematical Physics · Physics 2020-12-18 Marco Cicalese , Gianluca Orlando , Matthias Ruf

In this paper, we propose an effective unified control law for accurately tracking agile trajectories for lifting-wing quadcopters with different installation angles, which have the capability of vertical takeoff and landing (VTOL) as well…

Robotics · Computer Science 2022-12-27 Shuai Wang , Wenhan Gao , Quan Quan

For nonlinear discrete time systems satisfying a controllability condition, we present a stability condition for model predictive control without stabilizing terminal constraints or costs. The condition is given in terms of an analytical…

Optimization and Control · Mathematics 2012-04-02 Lars Grüne , Jürgen Pannek , Martin Seehafer , Karl Worthmann

In this paper, it is shown that a simple formulation of Economic Model Predictive Control can be used which possesses two features that are generally viewed as mutually exclusive, namely, a rather short prediction horizon…

Systems and Control · Electrical Eng. & Systems 2020-11-23 Mazen Alamir , Gabriele Pannochia

Tilted hexarotors embody a technology that remains partially unexploited in terms of its potential, especially concerning precise and concurrent position and attitude control. Focusing on these aerial platforms, we propose two control…

Systems and Control · Electrical Eng. & Systems 2023-10-17 Marco Perin , Massimiliano Bertoni , Giulia Michieletto , Roberto Oboe , Angelo Cenedese

This paper describes the design process for developing a nonlinear model predictive controller for fault tolerant flight control. After examining and implementing a number of numerical techniques, this paper identifies pseudospectral…

Optimization and Control · Mathematics 2016-10-10 Rudaba Khan , Paul Williams , Paul Riseborough , Asha Rao , Robin Hill

In this paper, we model the planar motion of a quadcopter, and develop a linear model of the same. We perform stability analysis of the open loop system and develop a PD controller for its position control. We compare the closed loop…

Systems and Control · Electrical Eng. & Systems 2021-06-30 Praveen Venkatesh , Sanket Vadhvana , Varun Jain

This work presents a closed-loop guidance algorithm for six-degrees of freedom spacecraft rendezvous with a passive target flying in an eccentric orbit. The main assumption is that the chaser vehicle has an attitude control system, based on…

Systems and Control · Electrical Eng. & Systems 2025-01-22 Julio C. Sanchez , Francisco Gavilan , Rafael Vazquez , Christophe Louembet

The stabilization of nonlinear systems under zero-state-detectability assumption or its analogues is considered. The proposed supervisory control provides a finite time practical stabilization of output and it is based on uniting local and…

Optimization and Control · Mathematics 2013-04-16 Denis Efimov , Alexander L. Fradkov

In this paper, we deal with the problem of the stabilization in the sample-and-hold sense, by emulation of continuous-time, observer-based, global stabilizers. Fully nonlinear time-delay systems are studied. Sufficient conditions are…

Systems and Control · Computer Science 2018-02-28 Mario Di Ferdinando , Pierdomenico Pepe

We employ the variational formulation and the Euler-Lagrange equations to study the steady-state error in linear non-causal estimators (smoothers). We give a complete description of the steady-state error for inputs that are polynomial in…

Optimization and Control · Mathematics 2008-02-04 D. Ezri , B. Z. Bobrovsky , Z. Schuss
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